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Finding the Fourth Proportional to 429,954.98, 644,947.25 and 193,298.49

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Solution

The fourth proportional to 429,954.98, 644,947.25 and 193,298.49 is: 289,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,954.98 : 644,947.25 = 193,298.49 : x
  2. Step 2: Convert to fraction form
    429,954.98/644,947.25 = 193,298.49/x
  3. Step 3: Cross multiply
    429,954.98x = 644,947.25 × 193,298.49
  4. Step 4: Simplify right side
    429,954.98x = 124,667,328,588.16
  5. Step 5: Solve for x
    x = 124,667,328,588.16/429,954.98
  6. Step 6: Final answer
    x = 289,954.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.